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Finding the Fourth Proportional to 304,138.48, 419,694 and 168,164.32

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Solution

The fourth proportional to 304,138.48, 419,694 and 168,164.32 is: 232,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,138.48 : 419,694 = 168,164.32 : x
  2. Step 2: Convert to fraction form
    304,138.48/419,694 = 168,164.32/x
  3. Step 3: Cross multiply
    304,138.48x = 419,694 × 168,164.32
  4. Step 4: Simplify right side
    304,138.48x = 70,577,556,118.08
  5. Step 5: Solve for x
    x = 70,577,556,118.08/304,138.48
  6. Step 6: Final answer
    x = 232,057.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.